%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB016+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:00:05 PM UTC 2026
% Result : Theorem 1.67s 1.31s
% Output : Refutation 3.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 16
% Syntax : Number of formulae : 108 ( 18 unt; 5 def)
% Number of atoms : 417 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 516 ( 207 ~; 225 |; 67 &)
% ( 13 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 6 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 122 ( 0 sgn 110 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( iext(uri_rdf_type,X0,uri_rdf_Property)
<=> ip(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_type_ip) ).
fof(f2,axiom,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
<=> icext(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( iext(uri_rdfs_domain,X0,X1)
& iext(X0,X2,X3) )
=> icext(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_domain_main) ).
fof(f4,axiom,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_domain_domain) ).
fof(f5,axiom,
iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subclassof_domain) ).
fof(f6,axiom,
ip(uri_owl_equivalentClass),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_equivalentclass_type) ).
fof(f7,axiom,
! [X0,X1] :
( iext(uri_owl_equivalentClass,X0,X1)
=> ( ic(X0)
& ic(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_equivalentclass_ext) ).
fof(f8,axiom,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
<=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X0,X2)
=> icext(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
fof(f9,axiom,
! [X0,X1] :
( iext(uri_rdfs_subPropertyOf,X0,X1)
<=> ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( iext(X0,X2,X3)
=> iext(X1,X2,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subpropertyof) ).
fof(f10,axiom,
! [X0,X1] :
( iext(uri_owl_equivalentClass,X0,X1)
<=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X0,X2)
<=> icext(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).
fof(f11,conjecture,
iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_016_Reflective_Tautologies_II) ).
fof(f12,negated_conjecture,
~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
inference(negated_conjecture,[status(cth)],[f11]) ).
fof(f13,plain,
~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
inference(flattening,[],[f12]) ).
fof(f14,plain,
! [X0,X1,X2,X3] :
( icext(X1,X2)
| ~ iext(uri_rdfs_domain,X0,X1)
| ~ iext(X0,X2,X3) ),
inference(ennf_transformation,[],[f3]) ).
fof(f15,plain,
! [X0,X1,X2,X3] :
( icext(X1,X2)
| ~ iext(uri_rdfs_domain,X0,X1)
| ~ iext(X0,X2,X3) ),
inference(flattening,[],[f14]) ).
fof(f16,plain,
! [X0,X1] :
( ( ic(X0)
& ic(X1) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f17,plain,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
<=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) ) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f18,plain,
! [X0,X1] :
( iext(uri_rdfs_subPropertyOf,X0,X1)
<=> ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) ) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f19,plain,
! [X0] :
( ( iext(uri_rdf_type,X0,uri_rdf_Property)
| ~ ip(X0) )
& ( ip(X0)
| ~ iext(uri_rdf_type,X0,uri_rdf_Property) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f20,plain,
! [X0,X1] :
( ( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) )
& ( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f21,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) ) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f22,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) ) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(flattening,[],[f21]) ).
fof(f23,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( icext(X1,X3)
| ~ icext(X0,X3) ) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(rectify,[],[f22]) ).
fof(f24,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ( ~ icext(X1,sK0(X0,X1))
& icext(X0,sK0(X0,X1)) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( icext(X1,X3)
| ~ icext(X0,X3) ) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f23]) ).
fof(f25,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subPropertyOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( ~ iext(X1,X2,X3)
& iext(X0,X2,X3) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) ) )
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f26,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subPropertyOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( ~ iext(X1,X2,X3)
& iext(X0,X2,X3) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) ) )
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
inference(flattening,[],[f25]) ).
fof(f27,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subPropertyOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( ~ iext(X1,X2,X3)
& iext(X0,X2,X3) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X4,X5] :
( iext(X1,X4,X5)
| ~ iext(X0,X4,X5) ) )
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
inference(rectify,[],[f26]) ).
fof(f28,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subPropertyOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ( ~ iext(X1,sK1(X0,X1),sK2(X0,X1))
& iext(X0,sK1(X0,X1),sK2(X0,X1)) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X4,X5] :
( iext(X1,X4,X5)
| ~ iext(X0,X4,X5) ) )
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X2,sK1(X0,X1)),skolemize(X3,sK2(X0,X1))],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( ( icext(X0,X2)
| ~ icext(X1,X2) )
& ( icext(X1,X2)
| ~ icext(X0,X2) ) ) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f30,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( ( icext(X0,X2)
| ~ icext(X1,X2) )
& ( icext(X1,X2)
| ~ icext(X0,X2) ) ) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(flattening,[],[f29]) ).
fof(f31,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( ( icext(X0,X3)
| ~ icext(X1,X3) )
& ( icext(X1,X3)
| ~ icext(X0,X3) ) ) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(rectify,[],[f30]) ).
fof(f32,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ( ( ~ icext(X1,sK3(X0,X1))
| ~ icext(X0,sK3(X0,X1)) )
& ( icext(X1,sK3(X0,X1))
| icext(X0,sK3(X0,X1)) ) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( ( icext(X0,X3)
| ~ icext(X1,X3) )
& ( icext(X1,X3)
| ~ icext(X0,X3) ) ) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f31]) ).
fof(f33,plain,
! [X0] :
( ip(X0)
| ~ iext(uri_rdf_type,X0,uri_rdf_Property) ),
inference(cnf_transformation,[],[f19]) ).
fof(f36,plain,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f37,plain,
! [X2,X3,X0,X1] :
( icext(X1,X2)
| ~ iext(uri_rdfs_domain,X0,X1)
| ~ iext(X0,X2,X3) ),
inference(cnf_transformation,[],[f15]) ).
fof(f38,plain,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
inference(cnf_transformation,[],[f4]) ).
fof(f39,plain,
iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class),
inference(cnf_transformation,[],[f5]) ).
fof(f40,plain,
ip(uri_owl_equivalentClass),
inference(cnf_transformation,[],[f6]) ).
fof(f41,plain,
! [X0,X1] :
( ic(X1)
| ~ iext(uri_owl_equivalentClass,X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f42,plain,
! [X0,X1] :
( ic(X0)
| ~ iext(uri_owl_equivalentClass,X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f46,plain,
! [X0,X1] :
( icext(X0,sK0(X0,X1))
| ~ ic(X0)
| ~ ic(X1)
| iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f47,plain,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ~ icext(X1,sK0(X0,X1)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f51,plain,
! [X0,X1] :
( iext(X0,sK1(X0,X1),sK2(X0,X1))
| ~ ip(X0)
| ~ ip(X1)
| iext(uri_rdfs_subPropertyOf,X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f52,plain,
! [X0,X1] :
( ~ iext(X1,sK1(X0,X1),sK2(X0,X1))
| ~ ip(X0)
| ~ ip(X1)
| iext(uri_rdfs_subPropertyOf,X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f53,plain,
! [X3,X0,X1] :
( icext(X1,X3)
| ~ icext(X0,X3)
| ~ iext(uri_owl_equivalentClass,X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f59,plain,
~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
inference(cnf_transformation,[],[f13]) ).
fof(f72,plain,
! [X0] :
( ~ ip(X0)
| ~ ip(uri_rdfs_subClassOf)
| iext(uri_rdfs_subPropertyOf,X0,uri_rdfs_subClassOf)
| ~ ic(sK1(X0,uri_rdfs_subClassOf))
| ~ ic(sK2(X0,uri_rdfs_subClassOf))
| ~ icext(sK2(X0,uri_rdfs_subClassOf),sK0(sK1(X0,uri_rdfs_subClassOf),sK2(X0,uri_rdfs_subClassOf))) ),
inference(resolution,[],[f52,f47]) ).
fof(f75,definition,
( spl4_3
<=> ip(uri_rdfs_subClassOf) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f76,plain,
( ip(uri_rdfs_subClassOf)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f77,plain,
( ~ ip(uri_rdfs_subClassOf)
| spl4_3 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f79,definition,
( spl4_4
<=> ! [X0] :
( ~ ip(X0)
| ~ icext(sK2(X0,uri_rdfs_subClassOf),sK0(sK1(X0,uri_rdfs_subClassOf),sK2(X0,uri_rdfs_subClassOf)))
| ~ ic(sK2(X0,uri_rdfs_subClassOf))
| ~ ic(sK1(X0,uri_rdfs_subClassOf))
| iext(uri_rdfs_subPropertyOf,X0,uri_rdfs_subClassOf) ) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
fof(f80,plain,
( ! [X0] :
( ~ ic(sK2(X0,uri_rdfs_subClassOf))
| ~ icext(sK2(X0,uri_rdfs_subClassOf),sK0(sK1(X0,uri_rdfs_subClassOf),sK2(X0,uri_rdfs_subClassOf)))
| ~ ip(X0)
| ~ ic(sK1(X0,uri_rdfs_subClassOf))
| iext(uri_rdfs_subPropertyOf,X0,uri_rdfs_subClassOf) )
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f81,plain,
( ~ spl4_3
| spl4_4 ),
inference(avatar_split_clause,[],[f72,f79,f75]) ).
fof(f95,plain,
( ~ iext(uri_rdf_type,uri_rdfs_subClassOf,uri_rdf_Property)
| spl4_3 ),
inference(resolution,[],[f77,f33]) ).
fof(f119,plain,
( ~ icext(uri_rdf_Property,uri_rdfs_subClassOf)
| spl4_3 ),
inference(resolution,[],[f95,f36]) ).
fof(f120,plain,
( ! [X0,X1] :
( ~ iext(uri_rdfs_domain,X0,uri_rdf_Property)
| ~ iext(X0,uri_rdfs_subClassOf,X1) )
| spl4_3 ),
inference(resolution,[],[f119,f37]) ).
fof(f169,plain,
( ! [X0] : ~ iext(uri_rdfs_domain,uri_rdfs_subClassOf,X0)
| spl4_3 ),
inference(resolution,[],[f120,f38]) ).
fof(f170,plain,
( $false
| spl4_3 ),
inference(resolution,[],[f169,f39]) ).
fof(f171,plain,
spl4_3,
inference(avatar_contradiction_clause,[],[f170]) ).
fof(f191,definition,
( spl4_9
<=> icext(sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK0(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf))) ),
introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).
fof(f193,plain,
( ~ icext(sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK0(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf)))
| spl4_9 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f195,definition,
( spl4_10
<=> ic(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
introduced(definition,[new_symbols(definition,[spl4_10])],[avatar_definition]) ).
fof(f196,plain,
( ic(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ spl4_10 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f197,plain,
( ~ ic(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| spl4_10 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f201,plain,
( ! [X0] :
( ~ iext(uri_owl_equivalentClass,X0,sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ icext(X0,sK0(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf))) )
| spl4_9 ),
inference(resolution,[],[f193,f53]) ).
fof(f212,definition,
( spl4_11
<=> ic(sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
introduced(definition,[new_symbols(definition,[spl4_11])],[avatar_definition]) ).
fof(f213,plain,
( ic(sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ spl4_11 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f214,plain,
( ~ ic(sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| spl4_11 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f226,plain,
( ! [X0] : ~ iext(uri_owl_equivalentClass,X0,sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| spl4_11 ),
inference(resolution,[],[f214,f41]) ).
fof(f229,plain,
( ~ icext(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK0(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf)))
| ~ ip(uri_owl_equivalentClass)
| ~ ip(uri_rdfs_subClassOf)
| iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf)
| spl4_9 ),
inference(resolution,[],[f201,f51]) ).
fof(f230,plain,
( ~ icext(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK0(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf)))
| ~ ip(uri_rdfs_subClassOf)
| iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf)
| spl4_9 ),
inference(forward_subsumption_resolution,[],[f229,f40]) ).
fof(f231,plain,
( ~ icext(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK0(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf)))
| iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf)
| ~ spl4_3
| spl4_9 ),
inference(forward_subsumption_resolution,[],[f230,f76]) ).
fof(f232,plain,
( ~ icext(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK0(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf)))
| ~ spl4_3
| spl4_9 ),
inference(forward_subsumption_resolution,[],[f231,f59]) ).
fof(f241,plain,
( ~ ip(uri_owl_equivalentClass)
| ~ ip(uri_rdfs_subClassOf)
| iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf)
| spl4_11 ),
inference(resolution,[],[f226,f51]) ).
fof(f242,plain,
( ~ ip(uri_rdfs_subClassOf)
| iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf)
| spl4_11 ),
inference(forward_subsumption_resolution,[],[f241,f40]) ).
fof(f243,plain,
( iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf)
| ~ spl4_3
| spl4_11 ),
inference(forward_subsumption_resolution,[],[f242,f76]) ).
fof(f244,plain,
( $false
| ~ spl4_3
| spl4_11 ),
inference(forward_subsumption_resolution,[],[f243,f59]) ).
fof(f245,plain,
( ~ spl4_3
| spl4_11 ),
inference(avatar_contradiction_clause,[],[f244]) ).
fof(f248,plain,
( ! [X0] : ~ iext(uri_owl_equivalentClass,sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),X0)
| spl4_10 ),
inference(resolution,[],[f197,f42]) ).
fof(f250,plain,
( ~ icext(sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK0(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf)))
| ~ ip(uri_owl_equivalentClass)
| ~ ic(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf)
| ~ spl4_4
| ~ spl4_11 ),
inference(resolution,[],[f213,f80]) ).
fof(f255,plain,
( ~ ip(uri_owl_equivalentClass)
| ~ ip(uri_rdfs_subClassOf)
| iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf)
| spl4_10 ),
inference(resolution,[],[f248,f51]) ).
fof(f256,plain,
( ~ ip(uri_rdfs_subClassOf)
| iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf)
| spl4_10 ),
inference(forward_subsumption_resolution,[],[f255,f40]) ).
fof(f257,plain,
( iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf)
| ~ spl4_3
| spl4_10 ),
inference(forward_subsumption_resolution,[],[f256,f76]) ).
fof(f258,plain,
( $false
| ~ spl4_3
| spl4_10 ),
inference(forward_subsumption_resolution,[],[f257,f59]) ).
fof(f259,plain,
( ~ spl4_3
| spl4_10 ),
inference(avatar_contradiction_clause,[],[f258]) ).
fof(f260,plain,
( ~ icext(sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK0(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf)))
| ~ ic(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf)
| ~ spl4_4
| ~ spl4_11 ),
inference(forward_subsumption_resolution,[],[f250,f40]) ).
fof(f261,plain,
( ~ icext(sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK0(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf)))
| ~ ic(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ spl4_4
| ~ spl4_11 ),
inference(forward_subsumption_resolution,[],[f260,f59]) ).
fof(f262,plain,
( ~ spl4_10
| ~ spl4_9
| ~ spl4_4
| ~ spl4_11 ),
inference(avatar_split_clause,[],[f261,f212,f79,f191,f195]) ).
fof(f269,plain,
( ~ ic(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ ic(sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| iext(uri_rdfs_subClassOf,sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ spl4_3
| spl4_9 ),
inference(resolution,[],[f232,f46]) ).
fof(f275,plain,
( ~ ic(sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| iext(uri_rdfs_subClassOf,sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ spl4_3
| spl4_9
| ~ spl4_10 ),
inference(forward_subsumption_resolution,[],[f269,f196]) ).
fof(f276,plain,
( iext(uri_rdfs_subClassOf,sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ spl4_3
| spl4_9
| ~ spl4_10
| ~ spl4_11 ),
inference(forward_subsumption_resolution,[],[f275,f213]) ).
fof(f282,plain,
( ~ ip(uri_owl_equivalentClass)
| ~ ip(uri_rdfs_subClassOf)
| iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf)
| ~ spl4_3
| spl4_9
| ~ spl4_10
| ~ spl4_11 ),
inference(resolution,[],[f276,f52]) ).
fof(f283,plain,
( ~ ip(uri_rdfs_subClassOf)
| iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf)
| ~ spl4_3
| spl4_9
| ~ spl4_10
| ~ spl4_11 ),
inference(forward_subsumption_resolution,[],[f282,f40]) ).
fof(f284,plain,
( iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf)
| ~ spl4_3
| spl4_9
| ~ spl4_10
| ~ spl4_11 ),
inference(forward_subsumption_resolution,[],[f283,f76]) ).
fof(f285,plain,
( $false
| ~ spl4_3
| spl4_9
| ~ spl4_10
| ~ spl4_11 ),
inference(forward_subsumption_resolution,[],[f284,f59]) ).
fof(f286,plain,
( ~ spl4_3
| spl4_9
| ~ spl4_10
| ~ spl4_11 ),
inference(avatar_contradiction_clause,[],[f285]) ).
cnf(s2,plain,
( ~ spl4_3
| spl4_4 ),
inference(sat_conversion,[],[f81]) ).
cnf(s5,plain,
spl4_3,
inference(sat_conversion,[],[f171]) ).
cnf(s8,plain,
( ~ spl4_3
| spl4_11 ),
inference(sat_conversion,[],[f245]) ).
cnf(s9,plain,
( ~ spl4_3
| spl4_10 ),
inference(sat_conversion,[],[f259]) ).
cnf(s10,plain,
( ~ spl4_4
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11 ),
inference(sat_conversion,[],[f262]) ).
cnf(s12,plain,
( ~ spl4_3
| spl4_9
| ~ spl4_10
| ~ spl4_11 ),
inference(sat_conversion,[],[f286]) ).
cnf(s13,plain,
spl4_10,
inference(rat,[],[s9,s5]) ).
cnf(s14,plain,
spl4_11,
inference(rat,[],[s8,s5]) ).
cnf(s15,plain,
spl4_9,
inference(rat,[],[s12,s14,s5,s13]) ).
cnf(s16,plain,
~ spl4_4,
inference(rat,[],[s10,s14,s13,s15]) ).
cnf(s17,plain,
$false,
inference(rat,[],[s2,s16,s5]) ).
fof(f287,plain,
$false,
inference(avatar_sat_refutation,[],[s17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB016+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n013.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Mon Sep 28 06:59:52 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.67/1.31 % (988979)Detected formulas, will run a generic FOF schedule.
% 1.67/1.31 % (988985)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2285330768:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.67/1.31 % (988984)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1671316562:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.67/1.31 % (988988)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1014223334:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.67/1.31 % (988989)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4037686340:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.67/1.31 % (988986)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1884149881:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.67/1.31 % (988987)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=461532646:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.67/1.31 % (988990)dis-21_1_sil=8000:lcm=predicate:random_seed=3948551501:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 1.67/1.31 % (988987)Refutation not found, incomplete strategy
% 1.67/1.31 % (988987)------------------------------
% 1.67/1.31 % (988987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.67/1.31 % (988987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/1.31 % (988987)CaDiCaL version: 2.1.3
% 1.67/1.31 % (988987)Termination reason: Refutation not found, incomplete strategy
% 1.67/1.31 % (988987)Time elapsed: 0.001 s
% 1.67/1.31 % (988987)Peak memory usage: 87 MB
% 1.67/1.31 % (988987)Instructions burned: 1 (million)
% 1.67/1.31 % (988989)First to succeed.
% 1.67/1.31 % (988989)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-988979"
% 1.67/1.31 % (988990)Also succeeded, but the first one will report.
% 1.67/1.31 % (988988)Instruction limit reached!
% 1.67/1.31 % (988988)------------------------------
% 1.67/1.31 % (988988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.67/1.31 % (988988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/1.31 % (988988)CaDiCaL version: 2.1.3
% 1.67/1.31 % (988988)Termination reason: Instruction limit
% 1.67/1.31 % (988988)Termination phase: Saturation
% 1.67/1.31 % (988988)Time elapsed: 0.047 s
% 1.67/1.31 % (988988)Peak memory usage: 87 MB
% 1.67/1.31 % (988988)Instructions burned: 119 (million)
% 1.67/1.31 % (988998)lrs+10_1_sil=8000:sp=occurrence:random_seed=681202968:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 1.67/1.31 % (988998)Also succeeded, but the first one will report.
% 1.67/1.31 % (988987)------------------------------
% 1.67/1.31 % (988987)------------------------------
% 1.67/1.31 % (988989)Refutation found. Thanks to Tanya!
% 1.67/1.31 % SZS status Theorem for theBenchmark
% 1.67/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 3.68/1.40 % (988989)------------------------------
% 3.68/1.40 % (988989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/1.40 % (988989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.40 % (988989)CaDiCaL version: 2.1.3
% 3.68/1.40 % (988989)Termination reason: Refutation
% 3.68/1.40 % (988989)Time elapsed: 0.009 s
% 3.68/1.40 % (988989)Peak memory usage: 89 MB
% 3.68/1.40 % (988989)Instructions burned: 11 (million)
% 3.68/1.40 % (988989)------------------------------
% 3.68/1.40 % (988989)------------------------------
% 3.68/1.40 % (988979)Success in time 0.439 s
% 3.68/1.40 % Vampire exiting
%------------------------------------------------------------------------------